1102001201100 has 180 divisors, whose sum is σ = 3727568493264. Its totient is φ = 281090113920.

The previous prime is 1102001201099. The next prime is 1102001201113. The reversal of 1102001201100 is 11021002011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2771299 + ... + 3143898.

Almost surely, 2^{1102001201100} is an apocalyptic number.

1102001201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102001201100 is an abundant number, since it is smaller than the sum of its proper divisors (2625567292164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102001201100 is a wasteful number, since it uses less digits than its factorization.

1102001201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915246 (or 5915230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1102001201100 its reverse (11021002011), we get a palindrome (1113022203111).

The spelling of 1102001201100 in words is "one trillion, one hundred two billion, one million, two hundred one thousand, one hundred".